45377

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 8x + 1.at n=10A023291
• Primes p such that sum of squares of even-position digits equals the sum of squares of odd-position digits of p.at n=14A076168
• a(0)=1. a(n) = a(n-1)*(n+1), if n is in the sequence. a(n)= a(n-1) +1, if n is missing from the sequence.at n=26A118471
• Primes p^4 + (p-1)^4 + (p+1)^4 arising from A126112.at n=2A126113
• Prime numbers that are the sum of three distinct positive fourth powers.at n=33A126657
• Primes of the form n^2+8.at n=19A138338
• a(n) = 3*n^4 + 12*n^3 + 30*n^2 + 36*n + 17.at n=10A160827
• Primes which are sum of at least two consecutive fourth powers.at n=11A165347
• Primes of the form 3*n^4+12*n^2+2, n > 0.at n=3A191589
• Primes of the form 3n^2 - 10.at n=21A201782
• Lexicographically largest increasing sequence of primes for which the continued square root map (see A257574) produces the decimal expansion of e (Euler's number).at n=30A257764
• Numbers that are the sum of fourth powers of three distinct positive integers in arithmetic progression.at n=35A306214
• Primes prime(k) such that 2*(prime(k)^2 - prime(k-1)^2) is a perfect square.at n=21A335410
• Consecutive internal states of the linear congruential pseudo-random number generator (171*s + 11213) mod 53125 when started at 1.at n=2A385039
• Prime numbersat n=4708